Question
Question: The locus of the mid points of the chord of the circle x<sup>2</sup> + y<sup>2</sup> = 4 which subt...
The locus of the mid points of the chord of the circle
x2 + y2 = 4 which subtends a right angle at the origin is –
A
x + y = 2
B
x2 + y2 = 1
C
x2 + y2 = 2
D
x + y = 1
Answer
x2 + y2 = 2
Explanation
Solution
2h2+k2 = cos45°
Ž h2 + k2 = 4 × 21
Ž h2 + k2 = 2
Locus x2 + y2 = 2